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Follow-up experiments for two-level fractional factorial designs via double semifoldover

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  • David Edwards

Abstract

The addition of another fraction to an initial experiment is often necessary to resolve ambiguities involving aliasing of factorial effects. One of the most widely used techniques for the selection of a follow-up experiment is foldover. However, semifoldover (i.e., adding half of a foldover fraction) frequently permits estimation of as many effects of interest as provided by a foldover. Thus, as an alternative to foldover, this article investigates the construction and theoretical properties of follow-up experiments obtained via the addition of two $$n/2$$ n / 2 -run semifoldover fractions. The strategy (termed double semifolding) provides a means of estimating more effects than can be achieved with a foldover design. Through the use of indicator functions, general properties of double semifoldover designs will be developed. Optimal double semifoldover plans, based on several established design criteria, will be discussed and tabulated for practical use. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • David Edwards, 2014. "Follow-up experiments for two-level fractional factorial designs via double semifoldover," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(4), pages 483-507, May.
    • Handle: RePEc:spr:metrik:v:77:y:2014:i:4:p:483-507
    DOI: 10.1007/s00184-013-0450-z
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    References listed on IDEAS

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    1. Steven G. Gilmour & Luzia A. Trinca, 2012. "Optimum design of experiments for statistical inference," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 61(3), pages 345-401, May.
    2. Nairanjana Dasgupta & Mike Jacroux & Rita SahaRay, 2010. "Partially replicated fractional factorial designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 71(3), pages 295-311, May.
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